51351875541000 has 384 divisors, whose sum is σ = 179603753846400. Its totient is φ = 13218004800000.

The previous prime is 51351875540993. The next prime is 51351875541007. The reversal of 51351875541000 is 14557815315.

51351875541000 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 1 + 87 + 554 + 10 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51351875540993) and next prime (51351875541007).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (51351875541007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1025965975 + ... + 1026016025.

It is an arithmetic number, because the mean of its divisors is an integer number (467718108975).

Almost surely, 2^{51351875541000} is an apocalyptic number.

51351875541000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51351875541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89801876923200).

51351875541000 is an abundant number, since it is smaller than the sum of its proper divisors (128251878305400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51351875541000 is a wasteful number, since it uses less digits than its factorization.

51351875541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54038 (or 54021 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 45.

The spelling of 51351875541000 in words is "fifty-one trillion, three hundred fifty-one billion, eight hundred seventy-five million, five hundred forty-one thousand".